Question

Determine the daily profit of the artificial lung company if 15 machines per day are manufactured. the daily profit in thousands of dollars to manufacture x machines is given by formula p(x)= 16x^2−73x 9 x^2−9x 20.

Answer 1

To calculate the daily profit for manufacturing 15 machines, we substitute 15 into the simplified profit function P(x) = 25x² - 82x + 20, yielding a profit of $4,415,000.

Step-by-step explanation:

The student has asked to determine the daily profit for an artificial lung company if 15 machines are manufactured daily. The profit function provided by the student appears to contain typos, but assuming a correct profit function of P(x) = 16x² - 73x + 9x² - 9x + 20, it can be simplified to P(x) = 25x² - 82x + 20. To find the profit when x = 15, we substitute 15 into the profit function:

P(15) = 25(15)² - 82(15) + 20

We then calculate the total revenues and total costs involved to obtain the profit:

P(15) = 25(225) - 82(15) + 20

P(15) = 5625 - 1230 + 20

P(15) = 4415

Since the profit function represents thousands of dollars, the daily profit for manufacturing 15 machines is $4,415,000.